The final result of simplification is the standard form of the logic function, that is, the expression represented by the largest term and the smallest term
1. Algebraic transformation method (requires familiarity with the axioms and theorems)
- Reduce to and or expression
Simplify to the final default variable item, use X = X (Y+Y not) to expand the variable. Express
the above logic function in the form of a minimum term expression.
- Reduce to OR and expression
Simplify the term of the default variable to the end with X = (X+Y) (X+Y not) extended variable. Express
the above logic function in the form of the largest term expression.
2. Truth table conversion method (faster and more intuitive)
There are n variables, there are 2^n variable values, and the result of each value is either 1 or 0.
The two standard forms of any logical function are unique.
Use the truth table method to express the above logic function in the form of maximum and minimum expressions.
answer:
The first problem is simplified, the
second problem is simplified, the
third problem is simplified
